{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 单车共享数量预测——线性回归分析\n",
    "Capital Bikeshare （美国Washington, D.C.的一个共享单车公司）提供的自行车数据上进行回归分析。训练数据为2011年的数据，预测2012年每天的单车共享数量。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 导入必要的工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  #矩阵操作\n",
    "import pandas as pd  #SQL数据处理\n",
    "\n",
    "import matplotlib.pyplot as plt  #画图\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "#使图形出现在noteboke窗口而不是新窗口\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 数据探索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2011-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>331</td>\n",
       "      <td>654</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>2011-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2011-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2011-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>2011-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   instant      dteday  season  yr  mnth  holiday  weekday  workingday  \\\n",
       "0        1  2011-01-01       1   0     1        0        6           0   \n",
       "1        2  2011-01-02       1   0     1        0        0           0   \n",
       "2        3  2011-01-03       1   0     1        0        1           1   \n",
       "3        4  2011-01-04       1   0     1        0        2           1   \n",
       "4        5  2011-01-05       1   0     1        0        3           1   \n",
       "\n",
       "   weathersit      temp     atemp       hum  windspeed  casual  registered  \\\n",
       "0           2  0.344167  0.363625  0.805833   0.160446     331         654   \n",
       "1           2  0.363478  0.353739  0.696087   0.248539     131         670   \n",
       "2           1  0.196364  0.189405  0.437273   0.248309     120        1229   \n",
       "3           1  0.200000  0.212122  0.590435   0.160296     108        1454   \n",
       "4           1  0.226957  0.229270  0.436957   0.186900      82        1518   \n",
       "\n",
       "    cnt  \n",
       "0   985  \n",
       "1   801  \n",
       "2  1349  \n",
       "3  1562  \n",
       "4  1600  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpath = './data/'\n",
    "data = pd.read_csv(dpath + 'day.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   season  yr  mnth  holiday  weekday  workingday  weathersit      temp  \\\n",
       "0       1   0     1        0        6           0           2  0.344167   \n",
       "1       1   0     1        0        0           0           2  0.363478   \n",
       "2       1   0     1        0        1           1           1  0.196364   \n",
       "3       1   0     1        0        2           1           1  0.200000   \n",
       "4       1   0     1        0        3           1           1  0.226957   \n",
       "\n",
       "      atemp       hum  windspeed   cnt  \n",
       "0  0.363625  0.805833   0.160446   985  \n",
       "1  0.353739  0.696087   0.248539   801  \n",
       "2  0.189405  0.437273   0.248309  1349  \n",
       "3  0.212122  0.590435   0.160296  1562  \n",
       "4  0.229270  0.436957   0.186900  1600  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#删除不用的特征及预测值\n",
    "data = data.drop((['instant','dteday','casual','registered']), axis=1)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 分割出预测值和特征值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "trainData = data[data[\"yr\"]==0]\n",
    "testData = data[data[\"yr\"]==1]\n",
    "\n",
    "trainData = trainData.drop(columns=['yr'])\n",
    "testData = testData.drop(columns=['yr'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 数据基本信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 731 entries, 0 to 730\n",
      "Data columns (total 12 columns):\n",
      "season        731 non-null int64\n",
      "yr            731 non-null int64\n",
      "mnth          731 non-null int64\n",
      "holiday       731 non-null int64\n",
      "weekday       731 non-null int64\n",
      "workingday    731 non-null int64\n",
      "weathersit    731 non-null int64\n",
      "temp          731 non-null float64\n",
      "atemp         731 non-null float64\n",
      "hum           731 non-null float64\n",
      "windspeed     731 non-null float64\n",
      "cnt           731 non-null int64\n",
      "dtypes: float64(4), int64(8)\n",
      "memory usage: 68.6 KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "season        0\n",
       "yr            0\n",
       "mnth          0\n",
       "holiday       0\n",
       "weekday       0\n",
       "workingday    0\n",
       "weathersit    0\n",
       "temp          0\n",
       "atemp         0\n",
       "hum           0\n",
       "windspeed     0\n",
       "cnt           0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看是否有空值\n",
    "data.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(731, 12)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "      <td>731.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2.496580</td>\n",
       "      <td>0.500684</td>\n",
       "      <td>6.519836</td>\n",
       "      <td>0.028728</td>\n",
       "      <td>2.997264</td>\n",
       "      <td>0.683995</td>\n",
       "      <td>1.395349</td>\n",
       "      <td>0.495385</td>\n",
       "      <td>0.474354</td>\n",
       "      <td>0.627894</td>\n",
       "      <td>0.190486</td>\n",
       "      <td>4504.348837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.110807</td>\n",
       "      <td>0.500342</td>\n",
       "      <td>3.451913</td>\n",
       "      <td>0.167155</td>\n",
       "      <td>2.004787</td>\n",
       "      <td>0.465233</td>\n",
       "      <td>0.544894</td>\n",
       "      <td>0.183051</td>\n",
       "      <td>0.162961</td>\n",
       "      <td>0.142429</td>\n",
       "      <td>0.077498</td>\n",
       "      <td>1937.211452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.059130</td>\n",
       "      <td>0.079070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.022392</td>\n",
       "      <td>22.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.337083</td>\n",
       "      <td>0.337842</td>\n",
       "      <td>0.520000</td>\n",
       "      <td>0.134950</td>\n",
       "      <td>3152.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.498333</td>\n",
       "      <td>0.486733</td>\n",
       "      <td>0.626667</td>\n",
       "      <td>0.180975</td>\n",
       "      <td>4548.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.655417</td>\n",
       "      <td>0.608602</td>\n",
       "      <td>0.730209</td>\n",
       "      <td>0.233214</td>\n",
       "      <td>5956.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>4.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.861667</td>\n",
       "      <td>0.840896</td>\n",
       "      <td>0.972500</td>\n",
       "      <td>0.507463</td>\n",
       "      <td>8714.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           season          yr        mnth     holiday     weekday  workingday  \\\n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000  731.000000   \n",
       "mean     2.496580    0.500684    6.519836    0.028728    2.997264    0.683995   \n",
       "std      1.110807    0.500342    3.451913    0.167155    2.004787    0.465233   \n",
       "min      1.000000    0.000000    1.000000    0.000000    0.000000    0.000000   \n",
       "25%      2.000000    0.000000    4.000000    0.000000    1.000000    0.000000   \n",
       "50%      3.000000    1.000000    7.000000    0.000000    3.000000    1.000000   \n",
       "75%      3.000000    1.000000   10.000000    0.000000    5.000000    1.000000   \n",
       "max      4.000000    1.000000   12.000000    1.000000    6.000000    1.000000   \n",
       "\n",
       "       weathersit        temp       atemp         hum   windspeed          cnt  \n",
       "count  731.000000  731.000000  731.000000  731.000000  731.000000   731.000000  \n",
       "mean     1.395349    0.495385    0.474354    0.627894    0.190486  4504.348837  \n",
       "std      0.544894    0.183051    0.162961    0.142429    0.077498  1937.211452  \n",
       "min      1.000000    0.059130    0.079070    0.000000    0.022392    22.000000  \n",
       "25%      1.000000    0.337083    0.337842    0.520000    0.134950  3152.000000  \n",
       "50%      1.000000    0.498333    0.486733    0.626667    0.180975  4548.000000  \n",
       "75%      2.000000    0.655417    0.608602    0.730209    0.233214  5956.000000  \n",
       "max      3.000000    0.861667    0.840896    0.972500    0.507463  8714.000000  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#各属性的统计特性\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4 单变量分布分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#cnt直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.cnt.values, bins=30)\n",
    "plt.title('Histogram of cnt')\n",
    "plt.xlabel('count of total rental bikes', fontsize=12)\n",
    "plt.ylabel('Probablility')\n",
    "plt.show()\n",
    "\n",
    "#cnt散点图\n",
    "plt.scatter(range(data.shape[0]), data[\"cnt\"].values, color='blue')\n",
    "plt.title(\"Distribution of cnt\")\n",
    "plt.ylabel('count of total rental bikes')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#季节分布直方图\n",
    "fig = plt.figure\n",
    "sns.countplot(data.season)\n",
    "plt.xlabel('1:spring, 2:summer, 3:fall, 4:winter')\n",
    "plt.title('count of season in dataset')\n",
    "\n",
    "#每个季节租车总人数分布\n",
    "sns.pairplot(data, x_vars='season', y_vars='cnt', size=5)\n",
    "plt.xlabel('season')\n",
    "plt.ylabel('count of total rental bikes')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#月份分布直方图\n",
    "fig = plt.figure\n",
    "sns.countplot(data.mnth)\n",
    "plt.xlabel('mounth')\n",
    "plt.show()\n",
    "\n",
    "#每月租车总人数分布\n",
    "sns.pairplot(data, x_vars='mnth', y_vars='cnt', size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEKCAYAAAAIO8L1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAEZJJREFUeJzt3X+sX3ddx/HnaysTUaD7cTdn21mEBsQAY95glWCQgWFT6IKOQJDVUVNipoH4i+ofAv5IMP6YDMhMZUCrCIzhXDVTmdVBjG7QwdiAgasT1kvresd+CC5ihm//+H5u+Hr7aftd13O/d73PR/LNOed9Pud83zdp+so53/P9fFNVSJK02EnTbkCStDwZEJKkLgNCktRlQEiSugwISVKXASFJ6jIgJEldBoQkqcuAkCR1rZp2A4/GGWecUevXr592G5L0mHLLLbfcW1UzRxv3mA6I9evXs2fPnmm3IUmPKUm+PMk4bzFJkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1DVYQCR5epJbx17/meSNSU5LckOSO9vy1DY+Sa5IsjfJbUnOG6o3SdLRDfZN6qr6InAuQJKTga8A1wLbgN1V9bYk29r2m4ALgA3t9YPAlW05qB/4lZ1Dv4Ueg275vUum3YI0dUt1i+l84N+q6svAJmBHq+8ALmrrm4CdNXITsDrJ2UvUnyRpkaUKiFcBH2jrZ1XVAYC2PLPV1wD7xo6ZazVJ0hQMHhBJTgFeDnz4aEM7teqcb2uSPUn2zM/PH48WJUkdS3EFcQHwqaq6p23fs3DrqC0PtvocsG7suLXA/sUnq6rtVTVbVbMzM0edrVaSdIyWIiBezbduLwHsAja39c3AdWP1S9rTTBuBBxduRUmSlt6gvweR5AnAS4DXj5XfBlydZAtwN3Bxq18PXAjsBR4CLh2yN0nSkQ0aEFX1EHD6otpXGT3VtHhsAZcN2Y8kaXJ+k1qS1GVASJK6DAhJUpcBIUnqMiAkSV0GhCSpy4CQJHUZEJKkLgNCktRlQEiSugwISVKXASFJ6jIgJEldBoQkqcuAkCR1GRCSpC4DQpLUZUBIkroMCElSlwEhSeoaNCCSrE5yTZIvJLkjyQ8lOS3JDUnubMtT29gkuSLJ3iS3JTlvyN4kSUc29BXE24G/rapnAM8B7gC2AburagOwu20DXABsaK+twJUD9yZJOoLBAiLJk4AfAa4CqKr/qaoHgE3AjjZsB3BRW98E7KyRm4DVSc4eqj9J0pENeQXxvcA88N4kn07y7iTfAZxVVQcA2vLMNn4NsG/s+LlWkyRNwZABsQo4D7iyqp4L/Bffup3Uk06tDhmUbE2yJ8me+fn549OpJOkQQwbEHDBXVTe37WsYBcY9C7eO2vLg2Ph1Y8evBfYvPmlVba+q2aqanZmZGax5SVrpBguIqvoPYF+Sp7fS+cDngV3A5lbbDFzX1ncBl7SnmTYCDy7cipIkLb1VA5//F4D3JzkFuAu4lFEoXZ1kC3A3cHEbez1wIbAXeKiNlSRNyaABUVW3ArOdXed3xhZw2ZD9SJIm5zepJUldBoQkqcuAkCR1GRCSpC4DQpLUZUBIkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1GVASJK6DAhJUpcBIUnqMiAkSV0GhCSpy4CQJHUZEJKkrkEDIsmXktye5NYke1rttCQ3JLmzLU9t9SS5IsneJLclOW/I3iRJR7YUVxA/WlXnVtVs294G7K6qDcDutg1wAbChvbYCVy5Bb5Kkw5jGLaZNwI62vgO4aKy+s0ZuAlYnOXsK/UmSGD4gCvhokluSbG21s6rqAEBbntnqa4B9Y8fOtZokaQpWDXz+51fV/iRnAjck+cIRxqZTq0MGjYJmK8A555xzfLqUJB1i0CuIqtrflgeBa4HnAfcs3Dpqy4Nt+BywbuzwtcD+zjm3V9VsVc3OzMwM2b4krWiDBUSS70jyxIV14MeAzwK7gM1t2Gbgura+C7ikPc20EXhw4VaUJGnpDXmL6Szg2iQL7/PnVfW3ST4JXJ1kC3A3cHEbfz1wIbAXeAi4dMDeJElHMVhAVNVdwHM69a8C53fqBVw2VD+SpEfGb1JLkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1GVASJK6DAhJUpcBIUnqMiAkSV0GhCSpy4CQJHUZEJKkLgNCktRlQEiSugwISVKXASFJ6jIgJEldEwVEkt2T1A5z7MlJPp3kr9v2U5LcnOTOJB9Kckqrf1vb3tv2r5/8z5AkHW9HDIgkj09yGnBGklOTnNZe64HvnvA93gDcMbb9u8DlVbUBuB/Y0upbgPur6mnA5W2cJGlKjnYF8XrgFuAZbbnwug5419FOnmQt8OPAu9t2gBcB17QhO4CL2vqmtk3bf34bL0maglVH2llVbwfenuQXquodx3D+PwJ+FXhi2z4deKCqHm7bc8Catr4G2Nfe9+EkD7bx9x7D+0qSHqUjBsSCqnpHkh8G1o8fU1U7D3dMkp8ADlbVLUleuFDunX6CfePn3QpsBTjnnHMmaV+SdAwmCogkfwo8FbgV+GYrF3DYgACeD7w8yYXA44EnMbqiWJ1kVbuKWAvsb+PngHXAXJJVwJOB+xaftKq2A9sBZmdnDwkQSdLxMVFAALPAM6tq4v+Qq+rXgF8DaFcQv1xVr0nyYeCngA8Cmxl9ngGwq23/S9v/D4/k/SRJx9ek34P4LPBdx+k93wT8YpK9jD5juKrVrwJOb/VfBLYdp/eTJB2DSa8gzgA+n+QTwDcWilX18kkOrqobgRvb+l3A8zpj/hu4eMJ+JEkDmzQg3jJkE5Kk5WfSp5g+NnQjkqTlZdKnmL7Gtx45PQV4HPBfVfWkoRqTJE3XpFcQTxzfTnIRnc8RJEknjmOazbWq/pLRlBmSpBPUpLeYXjG2eRKj70X4HQVJOoFN+hTTy8bWHwa+xGhyPUnSCWrSzyAuHboRSdLyMukPBq1Ncm2Sg0nuSfKRNpW3JOkENemH1O9lNFfSdzOalvuvWk2SdIKaNCBmquq9VfVwe70PmBmwL0nSlE0aEPcm+en2+9InJ/lp4KtDNiZJmq5JA+J1wCuB/wAOMJqO2w+uJekENuljrr8FbK6q+wGSnAb8PqPgkCSdgCa9gnj2QjgAVNV9wHOHaUmStBxMGhAnJTl1YaNdQUx69SFJegya9D/5PwD+Ock1jKbYeCXwO4N1JUmaukm/Sb0zyR5GE/QFeEVVfX7QziRJUzXxbaIWCIaCJK0QxzTdtyTpxGdASJK6BguIJI9P8okkn0nyuSRvbfWnJLk5yZ1JPpTklFb/tra9t+1fP1RvkqSjG/IK4hvAi6rqOcC5wEuTbAR+F7i8qjYA9wNb2vgtwP1V9TTg8jZOkjQlgwVEjXy9bT6uvYrRk1DXtPoO4KK2vqlt0/afnyRD9SdJOrJBP4NoE/vdChwEbgD+DXigqh5uQ+YYTR9OW+4DaPsfBE7vnHNrkj1J9szPzw/ZviStaIMGRFV9s6rOBdYCzwO+rzesLXtXC4f87nVVba+q2aqanZlxxnFJGsqSPMVUVQ8ANwIbgdVJFr5/sRbY39bngHUAbf+TgfuWoj9J0qGGfIppJsnqtv7twIuBO4B/ZDRdOMBm4Lq2vqtt0/b/Q1UdcgUhSVoaQ064dzawI8nJjILo6qr66ySfBz6Y5LeBTwNXtfFXAX+aZC+jK4dXDdibJOkoBguIqrqNzpTgVXUXo88jFtf/G7h4qH4kSY+M36SWJHUZEJKkLgNCktRlQEiSugwISVKXASFJ6jIgJEldBoQkqcuAkCR1GRCSpC4DQpLUZUBIkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1GVASJK6BguIJOuS/GOSO5J8LskbWv20JDckubMtT231JLkiyd4ktyU5b6jeJElHN+QVxMPAL1XV9wEbgcuSPBPYBuyuqg3A7rYNcAGwob22AlcO2Jsk6SgGC4iqOlBVn2rrXwPuANYAm4AdbdgO4KK2vgnYWSM3AauTnD1Uf5KkI1uSzyCSrAeeC9wMnFVVB2AUIsCZbdgaYN/YYXOttvhcW5PsSbJnfn5+yLYlaUUbPCCSfCfwEeCNVfWfRxraqdUhhartVTVbVbMzMzPHq01J0iKDBkSSxzEKh/dX1V+08j0Lt47a8mCrzwHrxg5fC+wfsj9J0uEN+RRTgKuAO6rqD8d27QI2t/XNwHVj9Uva00wbgQcXbkVJkpbeqgHP/XzgtcDtSW5ttV8H3gZcnWQLcDdwcdt3PXAhsBd4CLh0wN4kSUcxWEBU1T/R/1wB4PzO+AIuG6ofSdIj4zepJUldBoQkqcuAkCR1GRCSpC4DQpLUZUBIkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1GVASJK6DAhJUpcBIUnqMiAkSV0GhCSpy4CQJHUZEJKkrsECIsl7khxM8tmx2mlJbkhyZ1ue2upJckWSvUluS3LeUH1JkiYz5BXE+4CXLqptA3ZX1QZgd9sGuADY0F5bgSsH7EuSNIHBAqKqPg7ct6i8CdjR1ncAF43Vd9bITcDqJGcP1Zsk6eiW+jOIs6rqAEBbntnqa4B9Y+PmWk2SNCXL5UPqdGrVHZhsTbInyZ75+fmB25KklWupA+KehVtHbXmw1eeAdWPj1gL7eyeoqu1VNVtVszMzM4M2K0kr2VIHxC5gc1vfDFw3Vr+kPc20EXhw4VaUJGk6Vg114iQfAF4InJFkDngz8Dbg6iRbgLuBi9vw64ELgb3AQ8ClQ/UlSZrMYAFRVa8+zK7zO2MLuGyoXiRJj9xy+ZBakrTMGBCSpC4DQpLUZUBIkroMCElSlwEhSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1GVASJK6DAhJUpcBIUnqMiAkSV0GhCSpy4CQJHUZEJKkrsF+clTSo3P3bz5r2i1oGTrnN25fsvfyCkKS1LWsAiLJS5N8McneJNum3Y8krWTLJiCSnAy8C7gAeCbw6iTPnG5XkrRyLZuAAJ4H7K2qu6rqf4APApum3JMkrVjLKSDWAPvGtudaTZI0BcvpKaZ0anXIoGQrsLVtfj3JFwftamU5A7h32k0sB/n9zdNuQf+f/zYXvLn3X+Uj9j2TDFpOATEHrBvbXgvsXzyoqrYD25eqqZUkyZ6qmp12H9Ji/tucjuV0i+mTwIYkT0lyCvAqYNeUe5KkFWvZXEFU1cNJfh74O+Bk4D1V9bkptyVJK9ayCQiAqroeuH7afaxg3rrTcuW/zSlI1SGfA0uStKw+g5AkLSMGhJziRMtWkvckOZjks9PuZSUyIFY4pzjRMvc+4KXTbmKlMiDkFCdatqrq48B90+5jpTIg5BQnkroMCE00xYmklceA0ERTnEhaeQwIOcWJpC4DYoWrqoeBhSlO7gCudooTLRdJPgD8C/D0JHNJtky7p5XEb1JLkrq8gpAkdRkQkqQuA0KS1GVASJK6DAhJUpcBIS2SZP0jmT00yfuS/FRbf3dvssMkP5PkncezT2loy+oX5aTHuqr62Wn3IB0vXkFIfScn+ZMkn0vy0STfnuTcJDcluS3JtUlOXXxQkhuTzLb1S5P8a5KPAc8fG/OyJDcn+XSSv09yVpKTktyZZKaNOan9PscZS/YXS4sYEFLfBuBdVfX9wAPATwI7gTdV1bOB24E3H+7gJGcDb2UUDC9h9FsbC/4J2FhVz2U0vfqvVtX/An8GvKaNeTHwmaq697j+VdIjYEBIff9eVbe29VuApwKrq+pjrbYD+JEjHP+DwI1VNd9+Z+NDY/vWAn+X5HbgV4Dvb/X3AJe09dcB7330f4Z07AwIqe8bY+vfBFYfwzkON4/NO4B3VtWzgNcDjweoqn3APUlexChg/uYY3lM6bgwIaTIPAvcneUHbfi3wsSOMvxl4YZLTkzwOuHhs35OBr7T1zYuOezejW01XV9U3H33b0rHzKSZpcpuBP07yBOAu4NLDDayqA0newmgm0gPAp4CT2+63AB9O8hXgJuApY4fuYnRrydtLmjpnc5WWkfYE1OVV9YKjDpYG5hWEtEwk2Qb8HN96kkmaKq8gJEldfkgtSeoyICRJXQaEJKnLgJAkdRkQkqQuA0KS1PV/t0VdXiwWfPAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#假期分布直方图\n",
    "sns.countplot(data.holiday)\n",
    "plt.show()\n",
    "\n",
    "#假期租车总人数分布情况\n",
    "sns.pairplot(data, x_vars='holiday', y_vars='cnt',size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#每周的天数分布\n",
    "sns.countplot(data.weekday)\n",
    "\n",
    "#一周中每天租车总数量分布\n",
    "sns.pairplot(data, x_vars='weekday', y_vars='cnt',size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#工作日分布\n",
    "fig = plt.figure()\n",
    "sns.countplot(data.workingday)\n",
    "plt.xlabel('workingday=1')\n",
    "#工作日租车总数量分布\n",
    "sns.pairplot(data, x_vars='workingday', y_vars='cnt',size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#天气分布\n",
    "sns.countplot(data.weathersit)\n",
    "plt.xlabel('1:sunshine, 2:clouday, 3:raincost')\n",
    "\n",
    "#不同天气下租车总人数分布\n",
    "sns.pairplot(data, x_vars='weathersit', y_vars='cnt', size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#温度直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.temp.values, bins=30)\n",
    "plt.xlabel('temp',fontsize=12)\n",
    "plt.show()\n",
    "\n",
    "#温度散点图\n",
    "plt.scatter(range(data.shape[0]), data['temp'].values, color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#体感温度直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.atemp.values, bins=30)\n",
    "plt.xlabel('atemp',fontsize=12)\n",
    "plt.show()\n",
    "\n",
    "#体感温度散点图\n",
    "plt.scatter(range(data.shape[0]), data['atemp'].values, color='red')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#湿度分布图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.hum.values, bins=30)\n",
    "plt.xlabel('hum value',fontsize=12)\n",
    "plt.show()\n",
    "\n",
    "#湿度散点图\n",
    "plt.scatter(range(data.shape[0]), data['hum'].values, color='blue')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#删除小于0.2的数据\n",
    "data = data[data['hum']>0.2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#风速分布直方图\n",
    "fig = plt.figure()\n",
    "sns.distplot(data.windspeed.values, bins=30)\n",
    "plt.xlabel('windspeed',fontsize=12)\n",
    "plt.show()\n",
    "\n",
    "#风速散点图\n",
    "plt.scatter(range(data.shape[0]), data['windspeed'], color='yellow')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "cols = data.columns\n",
    "data_corr = data.corr().abs()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "sns.heatmap(data_corr, mask=data_corr < 1,cbar=False)\n",
    "\n",
    "plt.savefig('cnt.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "temp and atemp =0.99\n",
      "season and mnth =0.83\n",
      "atemp and cnt =0.63\n",
      "temp and cnt =0.63\n",
      "weathersit and hum =0.62\n",
      "yr and cnt =0.57\n"
     ]
    }
   ],
   "source": [
    "threshold = 0.5\n",
    "corr_list = []\n",
    "size = data.shape[1]\n",
    "\n",
    "for i in range(0,size):\n",
    "    for j in range(i+1,size):\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j])\n",
    "            \n",
    "s_corr_list = sorted(corr_list, key=lambda x: -abs(x[0]))\n",
    "\n",
    "for v,i,j in s_corr_list:\n",
    "    print(\"%s and %s =%.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(data, size=6, x_vars=cols[i], y_vars=cols[j])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#删除不需要的特征值\n",
    "trainData = trainData.drop(columns=['atemp'])\n",
    "testData = testData.drop(columns=['atemp'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 数据预处理"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1数据准备"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 分开特征值和预测值\n",
    "y_train = trainData.cnt.values\n",
    "x_train = trainData.drop(columns=['cnt'])\n",
    "y_test = testData.cnt.values\n",
    "x_test = testData.drop(columns=['cnt'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 数据预处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import preprocessing\n",
    "\n",
    "#连续值归类\n",
    "lx = ['temp', 'hum', 'windspeed']\n",
    "\n",
    "#初始化数值型特征\n",
    "nm_x_train= preprocessing.Normalizer()\n",
    "nm_y_train= preprocessing.Normalizer()\n",
    "nm_x_test= preprocessing.Normalizer()\n",
    "nm_y_test= preprocessing.Normalizer()\n",
    "enc_train = preprocessing.OneHotEncoder()\n",
    "enc_test = preprocessing.OneHotEncoder() \n",
    "\n",
    "#分离连续值和离散值\n",
    "lx_x_train = x_train.loc[:, lx]\n",
    "lx_x_test = x_test.loc[:, lx]\n",
    "ls_x_train = x_train.drop(columns = lx)\n",
    "ls_x_test = x_test.drop(columns = lx)\n",
    "\n",
    "#归一化连续特征值\n",
    "nm_lx_x_train = nm_x_train.fit_transform(lx_x_train)\n",
    "nm_lx_x_test = nm_x_test.transform(lx_x_test)\n",
    "\n",
    "#热编码离散特征值\n",
    "nm_ls_x_train = enc_train.fit_transform(ls_x_train).toarray()\n",
    "nm_ls_x_test = enc_test.fit_transform(ls_x_test).toarray()\n",
    "\n",
    "#组合离散特征值和连续特征值\n",
    "xTrain = np.concatenate((nm_ls_x_train, np.array(nm_lx_x_train)), axis=1)\n",
    "xTest = np.concatenate((nm_ls_x_test, np.array(nm_lx_x_test)), axis=1)\n",
    "\n",
    "#归一化预测值\n",
    "yTrain = nm_y_train.fit_transform(y_train.reshape(1, -1)).reshape(-1,1)\n",
    "yTest = nm_y_test.transform(y_test.reshape(1, -1)).reshape(-1,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3 线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>[3337645603.3220754]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>[3337645603.3179655]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>[3337645603.2991734]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>[2858748467.1786547]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>[2611028940.2063465]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>[1311678029.840907]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>[1063958502.8733913]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>[750334090.4012854]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>[750334090.3981762]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>[750334090.39427]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>[750334090.3902986]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>[750334090.3902549]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>[750334090.3890128]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>[750334090.3885463]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>[750334090.3851793]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>[750334090.3846396]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>[750334090.3840429]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[750334090.3829384]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[750334090.3825855]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>[286402019.54949576]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>[286402019.5494516]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>[286402019.54893225]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>[286402019.5488123]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>[286402019.54864764]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>[0.0682087714789644]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>[0.019997778081068]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>[-0.010991071363855298]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>[-1260668417.7827325]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>[-1260668417.7852023]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[-1310898664273.203]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[-1310898664273.2078]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[-1310898664273.2146]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[-1310898664273.2188]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       coef\n",
       "27     [3337645603.3220754]\n",
       "28     [3337645603.3179655]\n",
       "29     [3337645603.2991734]\n",
       "16     [2858748467.1786547]\n",
       "25     [2611028940.2063465]\n",
       "17      [1311678029.840907]\n",
       "26     [1063958502.8733913]\n",
       "8       [750334090.4012854]\n",
       "9       [750334090.3981762]\n",
       "12        [750334090.39427]\n",
       "13      [750334090.3902986]\n",
       "7       [750334090.3902549]\n",
       "11      [750334090.3890128]\n",
       "10      [750334090.3885463]\n",
       "15      [750334090.3851793]\n",
       "14      [750334090.3846396]\n",
       "6       [750334090.3840429]\n",
       "5       [750334090.3829384]\n",
       "4       [750334090.3825855]\n",
       "20     [286402019.54949576]\n",
       "23      [286402019.5494516]\n",
       "19     [286402019.54893225]\n",
       "21      [286402019.5488123]\n",
       "22     [286402019.54864764]\n",
       "30     [0.0682087714789644]\n",
       "31      [0.019997778081068]\n",
       "32  [-0.010991071363855298]\n",
       "24    [-1260668417.7827325]\n",
       "18    [-1260668417.7852023]\n",
       "3      [-1310898664273.203]\n",
       "2     [-1310898664273.2078]\n",
       "1     [-1310898664273.2146]\n",
       "0     [-1310898664273.2188]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#class sklearn.linear_model.LinearRegression(fit_intercept=True, normalize=False, copy_X=True, n_jobs=1)\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 使用默认配置初始化\n",
    "lr =LinearRegression()\n",
    "\n",
    "# 训练模型参数\n",
    "lr.fit(xTrain,yTrain)\n",
    "\n",
    "# 预测\n",
    "y_train_pred_lr = lr.predict(xTrain)\n",
    "y_test_pred_lr = lr.predict(xTest)\n",
    "\n",
    "# 观察各特征的权重系数\n",
    "fs = pd.DataFrame({\"coef\":list((lr.coef_.T))})\n",
    "fs.sort_values(by=['coef'],ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LinearRegression on train is: 0.8479048345990103\n",
      "The r2 score of LinearRegression on test is: 0.6834326382681144\n"
     ]
    }
   ],
   "source": [
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print(\"The r2 score of LinearRegression on train is:\", r2_score(yTrain,y_train_pred_lr))\n",
    "print(\"The r2 score of LinearRegression on test is:\", r2_score(yTest,y_test_pred_lr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(yTest - y_test_pred_lr,bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "残差分布和高斯分布比较匹配，右skew，有噪声"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfAAAAFgCAYAAABEyiulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3X18z/Xi//HHa7OxuWg0MXJV4VtshpGWi1zGSVGuauaiOChOKvKV0ukonTolSf1KjuNEmaMU5foi6UJsk9lylHASS8x1w65fvz/s+EqbjX229+fieb/d3LbPPq/P5/3snXru9Xq/P++3sdYiIiIinsXP6QAiIiJy+VTgIiIiHkgFLiIi4oFU4CIiIh5IBS4iIuKBVOAiIiIeSAUuIiLigVTgIiIiHkgFLiIi4oHKOR2gMKGhobZ+/fpOxxARESlTW7duPWKtrV7UOLct8Pr165OYmOh0DBERkTJljNlXnHFaQhcREfFAKnAREREPpAIXERHxQCpwERERD6QCFxER8UAqcBEREQ+kAhcREfFAKnAREREPpAIXERHxQCpwERERD6QCFxER8UAqcBEREQ+kAhcREblMR44cYejQofz888+OZVCBi4iIXIa1a9cSERFBXFwcmzdvdiyHClxERKQYMjMzGTduHN26daNq1arEx8dzzz33OJZHBS4iIlIMzzzzDK+88gpjxowhMTGRZs2aOZqnnKNbFxERcWPWWo4fP061atWYMGECHTp0oHv37k7HAjQDFxERKdChQ4fo2bMnXbt2JSsri6pVq7pNeYMKXERE5HeWLVtGeHg4n376KQ888AABAQFOR/odFbiIiEi+s2fPMnr0aO68807CwsJITExk9OjRGGOcjvY7KnAREZF8xhi++OILxo0bR3x8PE2aNHE6UqF0EpuIiPi0vLw8Zs2aRWxsLJUrVyY+Pp4KFSo4HatImoGLiIjPSk1NpVu3bjz00EO88847AB5R3qAZuIiI+KjFixczYsQIMjIymD17NsOGDXM60mXRDFxERHzOK6+8Qt++fbnuuuvYtm0bw4cPd8sT1S5FM3AREfEZ1lqMMfTp04dTp07x5JNPuuVHxIpDM3AREfF6ubm5PPfcc/Tu3RtrLfXq1eOZZ57x2PIGFbiIiHi5ffv2cdtttzF58mQqVqxIRkaG05FcQgUuIiJeKy4ujoiICLZv3867777LggULCAoKcjqWS+gYuIiIeKX09HTGjx9P06ZNeffdd2nQoIHTkVxKBS4iIl7lv7f6rFSpEhs3bqR+/fqUK+d9dacldBER8QrZ2dlMnjyZm2++mVdffRWAG264wSvLGzQDFxERL7B7924GDhxIfHw8Q4cOZdSoUU5HKnUqcBER8WgffvghgwcPJiAggEWLFtGvXz+nI5UJFbiIiHi0Bg0a0LZtW2bPnk2dOnWcjlNmdAxcREQ8zqeffspTTz0FQPPmzVm1apVPlTeowEVExINkZWUxYcIEunTpwgcffMCpU6ecjuQYFbiIiHiEnTt30qZNG1566SVGjhzJ1q1bqVKlitOxHOOSAjfGdDfGfG+M2W2MmXiJcX2NMdYYE+WK7YqIiG84e/YsHTt2ZP/+/SxdupQ333yTihUrOh3LUSU+ic0Y4w+8AXQFDgAJxpiPrbX/vmhcZeBhYEtJtykiIr7h+PHjhISEEBQUxPz582natClhYWFOx3ILrpiBtwZ2W2v3WmuzgIVArwLGPQv8DfCOq8iLiEipWrVqFTfeeCOzZ88GoGvXrirvC7iiwGsD+y94fCD/Z+cZY5oDday1yy71RsaYEcaYRGNMYlpamguiiYiIpzl79ixjx46lR48eVK9enVtuucXpSG7JFQVuCviZPf+kMX7AdGBcUW9krX3bWhtlrY2qXr26C6KJiIgnSUlJoXXr1rz22muMHTuWhIQEwsPDnY7lllxxIZcDwIUfvrsW+PmCx5WBpsBnxhiAmsDHxpi7rLWJLti+iIh4idTUVI4ePcqqVau4/fbbnY7j1lwxA08AGhpjGhhjAoF7gY//+6S19qS1NtRaW99aWx/YDKi8RUQEgIMHDxIXFwdA9+7d2b17t8q7GEpc4NbaHGAMsBrYCSyy1u4wxkwxxtxV0vcXERHvtXTpUsLDwxk5ciRHjx4FIDg42OFUnsElnwO31q6w1jay1l5vrZ2a/7OnrbUfFzD2Ns2+RUR82+nTpxk1ahS9e/embt26xMfHc/XVVzsdy6PoZiYiIlKmsrKyaNOmDTt27GDChAk8++yzBAYGOh3L46jARUSkTFhrMcYQGBjIQw89ROPGjenUqZPTsTyWroUuIiKlbv/+/XTq1Illy85dDuTBBx9UeZeQClxERErVokWLiIiIIDExkfT0dKfjeA0VuIiIlIpTp04xdOhQBgwYQOPGjUlKSuLee+91OpbXUIGLiEip+OSTT5g/fz5PP/00X3zxBddff73TkbyKTmITERGXycnJISUlhebNmxMTE0NkZCRNmjRxOpZX0gxcRERcYu/evXTo0IF27drxyy+/YIxReZciFbiIiJSItZZ58+YRGRnJjh07mD17NjVr1nQ6ltfTErqIiFyx3NxcYmNjWbhwIe3atWP+/PnUq1fP6Vg+QTNwERG5Yv7+/lxzzTVMnTqVDRs2qLzLkGbgIiJyWbKysvjLX/5C7969adWqFTNmzHA6kk9SgYuISLHt2rWLgQMHkpiYSGBgIK1atXI6ks9SgYuISJGstfz973/nkUceoUKFCixevJh77rnH6Vg+TcfARUSkSAsXLmTEiBFER0eTnJys8nYDmoGLiEihTp48yVVXXUW/fv3Iyclh4MCB+Plp7ucO9G9BRER+JyMjg8cee4wbb7yRtLQ0ypUrx6BBg1TebkQzcBER+Y0dO3YQExNDcnIyDz30EBUrVnQ6khRAv0qJiAhw7kS1119/naioKA4ePMgnn3zCG2+8QXBwsNPRpAAqcBEROW/NmjV06tSJlJQUevbs6XQcuQQtoYuI+Ljly5dz00030aBBA+Li4ggODsYY43QsKYJm4CIiPurMmTOMHj2anj17MnXqVAAqVqyo8vYQmoGLiPigpKQkYmJi2LlzJ+PGjTtf4OI5VOAiIj5mzZo19OzZk9DQUNasWUPXrl2djiRXQEvoIiI+wloLQHR0NCNHjiQ5OVnl7cFU4CIiPmDx4sW0b9+eM2fOUKlSJWbOnEloaKjTsaQEVOAiIl4sPT2dYcOG0bdvXzIyMjh+/LjTkcRFVOAiIl4qPj6e5s2bM3fuXCZNmsSmTZuoXbu207HERXQSm4iIF7LW8uijj5KVlcVnn31G+/btnY4kLqYCFxHxIvv27aNy5cpUq1aNuLg4qlSpQkhIiNOxpBRoCV1ExEvExcURERHBo48+CkDdunVV3l5MBS4i4uFOnjxJbGwsMTExNG3alGeeecbpSFIGVOAiIh4sKSmJZs2asXDhQqZMmcLGjRtp0KCB07GkDOgYuIiIB6tZsyZhYWEsXLiQNm3aOB1HypBm4CIiHmb37t2MHTuW3NxcatasyaZNm1TePkgFLiLiIay1zJ07l8jISObNm8f3338PoLuH+SgVuIiIBzh27Bj9+/fngQceoFWrViQnJ3PTTTc5HUscpGPgIiIe4O6772bTpk28+OKLjBs3Dn9/f6cjicNU4CIibiozMxOA8uXL8/LLL+Pn50fLli0dTiXuQkvoIiJuaOfOndxyyy1MnDgRgFatWqm85TdU4CIibsRay5tvvknLli3Zv38/t912m9ORxE1pCV1ExE0cPnyYYcOGsWzZMm6//Xbmzp1LWFiY07HETWkGLiLiJo4ePcpXX33FjBkzWLFihcpbLkkzcBERB509e5ZFixYxePBgbrzxxvN3ExMpimbgIiIOSUlJoXXr1gwdOpStW7cCqLyl2FTgIiJlLC8vj1dffZWoqCjS0tJYuXIlUVFRTscSD6MldBGRMhYbG0tcXBx33nknc+bMoXr16k5HEg+kAhcRKSPWWowx9O/fn/bt2zNy5Ehdx1yumApcRKSUnT59mscee4yGDRsyfvx4evfu7XQk8QIuOQZujOlujPneGLPbGDOxgOcfM8b82xiTbIxZb4yp54rtioi4u61bt9KiRQtmz57NyZMnnY4jXqTEBW6M8QfeAHoANwH3GWMuvkXONiDKWhsBfAD8raTbFRFxZ7m5ubz44ou0adOG06dPs379ep599lmnY4kXccUMvDWw21q711qbBSwEel04wFq7wVp7Jv/hZuBaF2xXRMRtbd++nUmTJtG7d2+Sk5Pp2LGj05HEy7iiwGsD+y94fCD/Z4UZBqws6AljzAhjTKIxJjEtLc0F0UREylZKSgoALVq0IDExkUWLFlGtWjWHU4k3ckWBF3QKpS1woDGxQBTwUkHPW2vfttZGWWuj9LEKEfEkp06dYujQoTRr1oxNmzYB0Lx5c51lLqXGFWehHwDqXPD4WuDniwcZY7oATwIdrLWZLtiuiIhb+Prrr4mNjeXHH3/kqaeeolWrVk5HEh/gihl4AtDQGNPAGBMI3At8fOEAY0xzYBZwl7X2sAu2KSLiFl544QXatWtHXl4en3/+OVOmTCEgIMDpWOIDSlzg1tocYAywGtgJLLLW7jDGTDHG3JU/7CWgEvC+MSbJGPNxIW8nIuJRKlasSExMDElJSdx6661OxxEfYqwt8HC146KiomxiYqLTMUREfsNay7vvvktQUBB9+/Y9f3U1EVcxxmy11hZ5cXzdzEREpJhOnDhBTEwMgwcPZt68eQAqb3GMClxEpBg2btxIREQEH3zwAVOnTuWjjz5yOpL4OF0LXUSkCN9++y0dO3bkhhtuYNOmTTrLXNyCZuAiIoVIT08HoGnTpsyZM4dvvvlG5S1uQwUuInIRay2zZ8+mXr1656+sdv/991OpUiWHk4n8HxW4iMgFjhw5wj333MOIESNo0aKFLoMqbksFLiKSb+3atURERLBixQqmTZvG6tWrqV37Urd2EHGOTmITEcm3du1aQkJCWLFiBZGRkU7HEbkkXchFRHzajh07SE9P5+abbyYrK4ucnByCg4OdjiU+TBdyERG5BGstM2fOJCoqijFjxmCtJTAwUOUtHkMFLiI+59ChQ9xxxx08/PDDdOzYkWXLlumKauJxdAxcRHzKnj17uOWWW/j111+ZOXMmo0ePVnmLR1KBi4hPadCgAQMGDGDUqFE0adLE6TgiV0xL6CLi9ZKSkmjXrh2pqan4+fkxc+ZMlbd4PBW4iHitvLw8Xn75ZVq3bs2ePXs4cOCA05FEXEYFLiJeKTU1lW7duvH444/Ts2dPUlJSuPnmm52OJeIyOgYuIl5pypQpfP3118yePZthw4bpRDXxOrqQi4h4jfT0dI4ePUq9evU4ceIEhw8fplGjRk7HErksupCLiPiUhIQEmjdvTp8+fcjLyyMkJETlLV5NBS4iHi03N5epU6cSHR1NZmYm06ZNw89P/2sT76dj4CLisQ4dOkS/fv344osvGDBgAG+99RYhISFOxxIpEypwEfFYV111FdZa5s2bR2xsrE5UE5+idSYR8SgnT57kscce49SpU1SoUIHPP/+cQYMGqbzF56jARcRjfPnllzRr1ozXXnuNDRs2AKi4xWepwEXE7WVnZ/P000/ToUMH/P39+fLLL+nVq5fTsUQcpQIXEbc3fvx4nn32WQYPHkxSUhJt2rRxOpKI43QSm4iUmiXbUnlp9feknjiLvzHkWktIUADGwIkz2dQKCeLx2xvTu3nt373WWsvZs2cJDg5m/PjxtG3bln79+jnwTyHinnQlNhEpFUu2pfLEhymczc4t1vigAD8ysvOoFRLEqDbX8PEbf+HXX39lxYoV+ly3+BRdiU1EHPXS6u+LXd4AZ7PzsMCe7Vu4/87b+HDJEjp16lR6AUU8nJbQRcTllmxLJfXE2ct6jc3N5sTn8zkV/xHlqtWmep/JnGrUSbNvkUKowEXEpZ5aksJ7m3+67NflZWdyeufnVIq8naodh+MXWIH3Nv9EVL1qBR4jF/F1+tVWRFxmybZU3tv8E8U9s8Zay+mdn2Nzc/CvUImwB17n6tvH4BdY4dzznFuKF5Hf0wxcRK7If88w//nEWWqFBNHxf6qzYEvxyzv39AmOrnqNs7vjqdb9YSo364Z/hUq/G/fzZS7Fi/gKFbiIXLaLzzBPPXGWdy9j2fzs3q0cWTGdvIzTVO38RypFdCl0bK2QoBLnFfFGKnARuWyXe4b5hU5u+ZATn/2DgNB61BjwHIHV6xc61gCP3974ykKKeDkVuIhclqeWpFz2GeYXCmoQSW56L6p2GIIpF3jJsQPb1NUJbCKFUIGLSKEuPs5d/+ogvtpz7LLew9o8fk38hOzjP3N1twcJvOY6qnW+rsjXxbapy3O9w680uojXU4GLSIEKOs59uTPvnPRjHF0+nYwftxF0Q2tsbjbGP6BYr128NVUfIRO5BBW4iBSoJMe5Ac78sJmjK1/DZmdS7fbRVGrW/bJu/Xk2O5eXVn+vAhcphApcRApUko9v5Z79lSPLXiGgahihd44n4Oo6ZZ5BxNupwEWkQLVCgi57yTz7WCrlqtbCP6gyNe57nsDq9Yq9ZF5YBhEpmApcRM678KS1q4ICCPA3ZOcWfWkWm5fLqfiPOPHFfKp1G03lZt0oX/OGEmUJCvDXR8hELkEFLiLA709aO3E2mwA/Q3CAH2ey8wp9Xc6pNI4sf4XMn1IIbnwrwY1uKXEWf2P46z3hOv4tcgkqcBEBCj5pLTvPkp1X+Az8zA9bOLr8FazN4+o/PELFpp0v60S1qsEBZGTn/Wa7QQH+Km+RYlCBiwhwZSeMmXIBlLv6WkJ7jiOgaq3Ley3w5zubAPzms+aP395Y5S1SDCpwEQGKf9JaZup3ZB3aTeUWPQlq0IIK9Ztf1qwbzpX3hVdZU2GLXD7dTlREgHPXHA8K8C/0eZuXy4mv4vjlvQmcSlhKXnYmQLHK+9brq1E7JAgD1A4JYvqASF1lTaSENAMXEeD/ZsH/Xc6+8Mh39olfOLpsGpmpO6nYpCPVuo7CL6B8ke9ZvpwfL/aJ0AxbpBSowEXkvN7Na58v2/oTlwOQl3mGX+Y9hs3NIfTO8VS86bYi36e2jmWLlDqXFLgxpjswA/AH/m6tfeGi58sD84CWwFFggLX2R1dsW0Rcb8m2VExuNtY/AL/ywVTrMpLytf+HclfVKPQ1IUEBPHNXE5W2SBkp8TFwY4w/8AbQA7gJuM8Yc9NFw4YBx621NwDTgRdLul0RKR1LtqUydvp77H97BGd+2AJAxZs6XLK8a4cEkfTnbipvkTLkipPYWgO7rbV7rbVZwEKg10VjegHv5H//AdDZXO5pqyJS6rKyshjz2OP8NH8ixr8c/pWqFvmaAD+jK6aJOMAVBV4b2H/B4wP5PytwjLU2BzgJXH3xGxljRhhjEo0xiWlpaS6IJiLFtWvXLm699VZSP4ujUkRXwoa+RvmwRkW+rlKFcpp5izjAFcfAC5pJX3zppuKMwVr7NvA2QFRUVNEXYBYRl9m0aRN79+6l8cBnyLg2qtivO3EmuxRTiUhhXDEDPwBceK/Aa4GfCxtjjCkHXAUcc8G2RaQEjh49ytq1awEYMmQIu3bt4oVxw3/3efCgAH9Cggq+q5juGCbiDFfMwBOAhsaYBkAqcC8Qc9GYj4EhwNdAX+BTa61m2CIOWrt2LUOGDCEjI4N9+/ZRuXJlrr76anrnH9y6+PKmwG9udgK6Y5iIk0pc4NbaHGPMGGA15z5G9g9r7Q5jzBQg0Vr7MTAHmG+M2c25mfe9Jd2uiFyZjIwMJk2axPTp07nxxhtZsGABlStX/s2YCz8PfjFdt1zEPRh3nQhHRUXZxMREp2OIeJUzZ84QHR3N9u3bGT16NH/7298IDg52OpaIXMAYs9VaW+SJKLoWuogPCQ4O5q677mLZsmW8/vrrKm8RD6YCF/Fyhw4dolevXmzZcu6iLFOmTOGOO+5wOJWIlJQKXMSLLV++nPDwcNasWcPu3budjiMiLqQCF/FCZ8+eZcyYMfTs2ZOwsDASExMZOHCg07FExIVU4CJeaM6cObzxxhuMGzeO+Ph4mjRp4nQkEXEx3U5UxEvk5eXxn//8h+uvv55Ro0bRokULoqOjnY4lIqVEM3ARL5Camkq3bt2Ijo7m+PHjlCtXTuUt4uU0AxfxcIsXL+aPf/wjmZmZzJgxg5CQEKcjiUgZ0AxcxENlZWUxfPhw+vbty/XXX8+2bdsYPnw4ulOviG9QgYt4qICAAI4fP86kSZPYtGkTjRoVfetPEfEeWkIX8SC5ubm89NJL9OvXj+uvv573338fPz/9Hi7ii/RfvoiH2LdvHx07duSJJ55gwYIFACpvER+mGbiIB4iLi+PBBx8kLy+PefPmERsb63QkEXGYfn0XcXNz584lJiaGJk2asH37dgYNGqQT1UREM3ARd5WZmUn58uXp378/p06dYvTo0ZQrp/9kReQczcBF3Ex2djaTJ0+mZcuWnDlzhooVKzJ27FiVt4j8hgpcxI3s3r2btm3b8txzz9GqVSvy8vKcjiQibkoFLuIGrLXMnTuXyMhIdu3axaJFi5g7dy6VKlVyOpqIuCmtyYm4gdzcXGbNmkWrVq2YN28ederUcTqSiLg5FbiIgz777DOaNm1KaGgoy5Yto2rVqvj7+zsdS0Q8gJbQRRyQlZXFhAkT6NSpE88++ywAoaGhKm8RKTbNwEXK2HfffUdMTAzbtm1j5MiRPP/8805HEhEPpAIXKUMrV66kT58+VKxYkSVLltCrVy+nI4mIh9ISukgZatGiBXfffTfJyckqbxEpERW4SClbtWoV/fr1Izc3lxo1avDee+8RFhbmdCwR8XAqcJFSkpGRwdixY+nRowffffcdhw8fdjqSiHgRFbhIKUhJSaFVq1a89tprPPzww8THx2vWLSIupZPYRFwsLy+P++67jyNHjrBy5Uq6d+/udCQR8UIqcBEXOXjwICEhIQQFBbFw4UJq1KhB9erVnY4lIl5KS+giLrBkyRLCw8OZNGkSAE2bNlV5i0ipUoGLlMDp06cZOXIkd999N3Xr1mXEiBFORxIRH6ECF7lCycnJtGjRgtmzZzNhwgQ2b97MjTfe6HQsEfEROgYucoXKly+PMYb169fTsWNHp+OIiI/RDFzkMuzfv5/nn38eay2NGzdmx44dKm8RcYQKXKSYFi1aREREBH/961/5z3/+A6C7h4mIY1TgIkX49ddfGTp0KAMGDKBx48Zs27aN6667zulYIuLjdAxc5BKstXTt2pWEhAQmT57M5MmTCQgIcDqWiIgKXKQgOTk5GGPw9/fnmWeeoVKlSrRt29bpWCIi52kJXeQie/fupUOHDkybNg2A7t27q7xFxO2owEXyWWuZP38+kZGRfPvtt9StW9fpSCIihVKBiwAnTpwgJiaGwYMHExkZSXJyMvfee6/TsURECqUCFwH+/e9/89FHHzF16lQ2bNhAvXr1nI4kInJJOolNfFZ2djbr1q2jR48eREdH8+OPP1KzZk2nY4mIFItm4OKTdu3aRXR0NH/4wx/YsWMHgMpbRDyKClx8irWW2bNn07x5c/bs2cMHH3xAkyZNnI4lInLZtIQuPiU2NpYFCxbQuXNn3nnnHWrXru10JBGRK6ICF5/Svn17WrRowaOPPoqfnxagRMRzqcDFq2VmZjJp0iRatmxJTEwMI0eOdDqSiIhLlGgKYoypZoxZa4z5If9r1QLGRBpjvjbG7DDGJBtjBpRkmyLFtWPHDlq3bs0rr7xCSkqK03FERFyqpGuIE4H11tqGwPr8xxc7Awy21jYBugOvGmNCSrhdkUJZa3njjTeIioril19+YdmyZfz1r391OpaIiEuVtMB7Ae/kf/8O0PviAdbaXdbaH/K//xk4DFQv4XZFCvX5558zZswYOnbsSHJyMnfccYfTkUREXK6kBV7DWnsQIP/rNZcabIxpDQQCe0q4XZHf+emnnwDo0KEDa9euZfny5dSoUcPhVCIipaPIAjfGrDPGfFvAn16XsyFjTBgwH7jfWptXyJgRxphEY0xiWlra5by9+LAzZ84wevRoGjVqxLfffgtAly5dMMY4nExEpPQUeRa6tbZLYc8ZYw4ZY8KstQfzC/pwIeOqAMuBp6y1my+xrbeBtwGioqJsUdlEkpKSiImJYefOnYwbN46GDRs6HUlEpEyUdAn9Y2BI/vdDgKUXDzDGBAIfAfOste+XcHsi502fPp3WrVtz4sQJ1qxZw8svv0z58uWdjiUiUiZKWuAvAF2NMT8AXfMfY4yJMsb8PX9Mf6A9MNQYk5T/J7KE2xXh8OHD9OzZk+TkZLp27ep0HBGRMmWsdc+V6qioKJuYmOh0DHEzH374IaGhobRv357c3Fz8/Px0rFtEvIoxZqu1NqqocbqWpHiE9PR0hg8fTp8+fZg+fToA/v7+Km8R8VkqcHF78fHxNG/enH/84x888cQT/Otf/3I6koiI43QtdHFr8fHxREdHU6tWLTZs2ECHDh2cjiQi4hY0Axe3lJ2dDUBUVBTPPfcc27dvV3mLiFxABS5uJy4ujkaNGrF//378/PyYOHEiVav+7j45IiI+TQUubuPkyZMMGjSImJgYatWqRV5egRfsExERVODiJr766isiIyOJi4tjypQpbNy4kXr16jkdS0TEbekkNnELb7/9Nn5+fnz55Ze0adPG6TgiIm5PBS6O2bNnDzk5OTRu3JiZM2cCUKVKFYdTiYh4Bi2hS5mz1vLPf/6TyMhIRo0aBZwrbpW3iEjxqcClTB07doz+/ftz//3307JlS+bNm+d0JBERj6QldCkz3333HV26dOHQoUO88MILjB8/Hn9/f6djiYh4JBW4lJkGDRoQHR3N//7v/9KyZUun44iIeDQtoUup+u6777j77rs5efIk5cuXZ9GiRSpvEREXUIFLqbDW8tZbb9GiRQu++OILvv/+e6cjiYh4FRW4uFxaWhq9evXiwQcfpF27dqSkpNC6dWunY4mIeBUVuLjcn/70J1avXs2rr77KypUrCQsLczqSiIjXMdZapzMUKCoqyiYmJjodQ4opIyOD9PSdvT+tAAAMkUlEQVR0QkNDOXDgAMeOHSMiIsLpWCIiHscYs9VaG1XUOM3ApcRSUlJo1aoVAwcOxFrLtddeq/IWESllKnC5Ynl5ecyYMYNWrVqRlpbGo48+ijHG6VgiIj5BnwOXK3L48GEGDx7M6tWrufPOO5kzZw7Vq1d3OpaIiM/QDFyuSEBAAD/++CNvvfUWS5cuVXmLiJQxzcCl2E6fPs2MGTMYP348VatW5dtvv6VcOf0VEhFxgmbgUixbt26lZcuWPPXUU6xfvx5A5S0i4iAVuFxSbm4uL774Im3atCE9PZ1169bRo0cPp2OJiPg8TaHkkkaPHs2sWbPo27cvs2bNolq1ak5HEhERVOBSiJycHMqVK8fo0aO5+eabGTp0qD4iJiLiRlTg8hu//vorf/rTnzDGMHfuXMLDwwkPD3c6loiIXETHwOW8zZs3ExkZyfz586lTpw7uepldERFRgQvnlsunTJlC27ZtycvLY+PGjUyZMkVL5iIibkwFLvzyyy+88sor3HfffSQlJdG2bVunI4mISBF0DNxHWWtZt24dXbp04dprryU5OZm6des6HUtERIpJM3AfdOLECWJiYujWrRvvv/8+gMpbRMTDaAbuYz7//HMGDRrEzz//zNSpU+nTp4/TkURE5ApoBu5Dpk2bxm233UZgYCBfffUVkyZNwt/f3+lYIiJyBVTgPiQyMpIHHniAbdu20bp1a6fjiIhICWgJ3YtZa5kzZw6HDx9m0qRJdO7cmc6dOzsdS0REXEAzcC919OhR+vTpwx//+Ec2btxIbm6u05FERMSFVOBeaN26dURERLBs2TJefvllVq5cqWPdIiJeRkvoXubgwYP07NmT6667juXLlxMZGel0JBERKQUqcC9x8OBBwsLCCAsL45NPPuHWW28lODjY6VgiIlJKtITu4ay1vP7661x33XUsXboUgK5du6q8RUS8nGbgHuzQoUM88MADrFixgh49etCmTRunI4mISBnRDNxDrVy5kvDwcD799FNmzpzJ8uXLqVGjhtOxRESkjGgG7qHS0tIICwtjw4YNNGnSxOk4IiJSxjQD9yBJSUnnbz4yaNAgEhISVN4iIj5KBe4B8vLymDZtGjfffDOTJk0iOzsbYwyBgYFORxMREYeowN1camoq3bp1Y/z48dxxxx18/fXXBAQEOB1LREQcpmPgbuzIkSM0a9aMs2fPMnv2bIYNG4YxxulYIiLiBko0AzfGVDPGrDXG/JD/teolxlYxxqQaY14vyTZ9wX+vWx4aGsrkyZPZtm0bw4cPV3mLiMh5JV1Cnwist9Y2BNbnPy7Ms8DGEm7P6yUkJBAeHs7mzZsBGDt2LI0aNXI4lYiIuJuSFngv4J38798Behc0yBjTEqgBrCnh9rxWbm4uzz//PNHR0aSnp5OXl+d0JBERcWMlLfAa1tqDAPlfr7l4gDHGD5gGPF7UmxljRhhjEo0xiWlpaSWM5jn27dtHx44defLJJ+nTpw/JyclER0c7HUtERNxYkSexGWPWATULeOrJYm7jIWCFtXZ/UcdwrbVvA28DREVF2WK+v8dbuHAhSUlJzJs3j9jYWB3rFhGRIhlrr7wnjTHfA7dZaw8aY8KAz6y1jS8a8x7QDsgDKgGBwP+z1l7qeDlRUVE2MTHxirO5u5MnT/LDDz8QFRVFbm4uqamp1K1b1+lYIiLiMGPMVmttVFHjSrqE/jEwJP/7IcDSiwdYawdaa+taa+sD44F5RZW3t/vyyy9p1qwZd911FxkZGfj7+6u8RUTkspS0wF8AuhpjfgC65j/GGBNljPl7ScN5m+zsbJ5++mk6dOiAn58fixcvpkKFCk7HEhERD1SiJfTS5G1L6KdOnaJbt25s2bKFIUOG8Nprr1GlShWnY4mIiJspqyV0KabKlSvTpEkT/vWvf/HPf/5T5S0iIiWiAi9Fx44dY8iQIezevRtjDHPmzKF///5OxxIRES+gAi8ln376KRERESxYsIAtW7Y4HUdERLyMCtzFsrKymDBhAl26dKFixYps3ryZgQMHOh1LRES8jArcxV5++WVeeuklRowYwTfffEPLli2djiQiIl5ItxN1AWstaWlpXHPNNTzyyCM0b96cHj16OB1LRES8mGbgJZSWlkavXr1o27YtZ86cITg4WOUtIiKlTgVeAqtWrSI8PJw1a9YwevRoXZRFRETKjAr8CmRmZvLII4/Qo0cPqlevTkJCAmPHjsXPT7tTRETKhhrnCvj7+xMfH8/YsWNJSEggPDzc6UgiIuJjdBJbMeXl5TFr1iz69u1L9erV2bBhA+XLl3c6loiI+CjNwIvh4MGD/OEPf+Chhx5izpw5ACpvERFxlGbgRVi6dCnDhw/n9OnTvPnmm4wcOdLpSCIiIpqBX8qsWbPo3bs3derU4ZtvvmHUqFEYY5yOJSIiohl4QfLy8vDz8+Oee+7hl19+4YknniAwMNDpWCIiIudpBn6B3NxcXnzxRTp37kxOTg7Vq1fnz3/+s8pbRETcjgo83/79++nSpQsTJ04kNDSUjIwMpyOJiIgUSgUOvP/++0RERJCQkMDcuXNZtGgRlSpVcjqWiIhIoXz+GHhmZiaTJk2iUaNGvPfee9xwww1ORxIRESmSzxZ4QkICTZo0ITg4mHXr1lGrVi0CAgKcjiUiIlIsPreEnpOTw5QpU7jlllt4/vnnAahXr57KW0REPIpPzcD37t3LoEGD2LRpE7GxsTz++ONORxIREbkiPlPgK1as4N5778XPz48FCxZw3333OR1JRETkivlMgTds2JBbb72Vt956i3r16jkdR0REpER8qsBXrlzpdAwRERGX8LmT2ERERLyBClxERMQDqcBFREQ8kApcRETEA6nARUREPJAKXERExAOpwEVERDyQClxERMQDqcBFREQ8kApcRETEA6nARUREPJAKXERExAOpwEVERDyQsdY6naFAxpg0YJ/TOcpYKHDE6RBeQPux5LQPXUP7seR8cR/Ws9ZWL2qQ2xa4LzLGJFpro5zO4em0H0tO+9A1tB9LTvuwcFpCFxER8UAqcBEREQ+kAncvbzsdwEtoP5ac9qFraD+WnPZhIXQMXERExANpBi4iIuKBVOAiIiIeSAXuMGNMNWPMWmPMD/lfq15ibBVjTKox5vWyzOjuirMPjTGRxpivjTE7jDHJxpgBTmR1N8aY7saY740xu40xEwt4vrwx5l/5z28xxtQv+5TurRj78DFjzL/z/96tN8bUcyKnuytqP14wrq8xxhpjfP6jZSpw500E1ltrGwLr8x8X5llgY5mk8izF2YdngMHW2iZAd+BVY0xIGWZ0O8YYf+ANoAdwE3CfMeami4YNA45ba28ApgMvlm1K91bMfbgNiLLWRgAfAH8r25Tur5j7EWNMZeBhYEvZJnRPKnDn9QLeyf/+HaB3QYOMMS2BGsCaMsrlSYrch9baXdbaH/K//xk4DBR5pSMv1xrYba3da63NAhZybl9e6MJ9+wHQ2RhjyjCjuytyH1prN1hrz+Q/3AxcW8YZPUFx/i7CuUnM34CMsgznrlTgzqthrT0IkP/1mosHGGP8gGnA42WczVMUuQ8vZIxpDQQCe8ogmzurDey/4PGB/J8VOMZamwOcBK4uk3SeoTj78ELDgJWlmsgzFbkfjTHNgTrW2mVlGcydlXM6gC8wxqwDahbw1JPFfIuHgBXW2v2+OvlxwT787/uEAfOBIdbaPFdk82AF/WW6+HOlxRnjy4q9f4wxsUAU0KFUE3mmS+7H/EnMdGBoWQXyBCrwMmCt7VLYc8aYQ8aYMGvtwfxyOVzAsFuAdsaYh4BKQKAxJt1ae6nj5V7FBfsQY0wVYDnwlLV2cylF9SQHgDoXPL4W+LmQMQeMMeWAq4BjZRPPIxRnH2KM6cK5XzY7WGszyyibJylqP1YGmgKf5U9iagIfG2PustYmlllKN6MldOd9DAzJ/34IsPTiAdbagdbautba+sB4YJ4vlXcxFLkPjTGBwEec23fvl2E2d5YANDTGNMjfP/dybl9e6MJ92xf41OrqTxcqch/mL/3OAu6y1hb4y6Vcej9aa09aa0OttfXz/z+4mXP702fLG1Tg7uAFoKsx5gega/5jjDFRxpi/O5rMcxRnH/YH2gNDjTFJ+X8inYnrHvKPaY8BVgM7gUXW2h3GmCnGmLvyh80BrjbG7AYe49KfkvA5xdyHL3Fu5ez9/L93F/+S5POKuR/lIrqUqoiIiAfSDFxERMQDqcBFREQ8kApcRETEA6nARUREPJAKXERExAOpwEVERDyQClxERMQD/X+LZ4OR8xAAjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#观察预测值与真值的散点图\n",
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(yTest, y_test_pred_lr)\n",
    "plt.plot([-0.5, 0.5], [-0.5, 0.5], '--k')   #数据已经归一，0.5倍标准差即可\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.4 岭回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of RidgeCV on test is 0.6696893392671104\n",
      "The r2 score of RidgeCV on train is 0.8493363449662292\n"
     ]
    }
   ],
   "source": [
    "#岭回归／L2正则\n",
    "#class sklearn.linear_model.RidgeCV(alphas=(0.1, 1.0, 10.0), fit_intercept=True, \n",
    "#                                  normalize=False, scoring=None, cv=None, gcv_mode=None, \n",
    "#                                  store_cv_values=False)\n",
    "from sklearn.linear_model import  RidgeCV\n",
    "\n",
    "#设置超参数（正则参数）范围\n",
    "alphas = [ 0.001,0.005,0.01,0.02,0.03, 0.04,0.05,0.06,0.07,0.08,0.09,0.1,0.15,0.2]\n",
    "#n_alphas = 20\n",
    "#alphas = np.logspace(-5,2,n_alphas)\n",
    "\n",
    "#生成一个RidgeCV实例\n",
    "ridge = RidgeCV(alphas=alphas, store_cv_values=True)  \n",
    "\n",
    "#模型训练\n",
    "ridge.fit(xTrain, yTrain)    \n",
    "\n",
    "#预测\n",
    "y_test_pred_ridge = ridge.predict(xTest) \n",
    "y_train_pred_ridge = ridge.predict(xTrain)\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of RidgeCV on test is', r2_score(yTest, y_test_pred_ridge))\n",
    "print('The r2 score of RidgeCV on train is', r2_score(yTrain, y_train_pred_ridge))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.4.1可视化 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best alpha is: 0.001\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>columns</th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>27</td>\n",
       "      <td>[3337645603.3220754]</td>\n",
       "      <td>[0.009137269443034168]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>28</td>\n",
       "      <td>[3337645603.3179655]</td>\n",
       "      <td>[0.0047498207110957535]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>29</td>\n",
       "      <td>[3337645603.2991734]</td>\n",
       "      <td>[-0.013887090154074966]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>[2858748467.1786547]</td>\n",
       "      <td>[0.0019793193878170426]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>[2611028940.2063465]</td>\n",
       "      <td>[-0.0007405804984723652]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>[1311678029.840907]</td>\n",
       "      <td>[-0.0019793193878170426]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>26</td>\n",
       "      <td>[1063958502.8733913]</td>\n",
       "      <td>[0.0007405804984690345]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>[750334090.4012854]</td>\n",
       "      <td>[0.012009117002549335]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>[750334090.3981762]</td>\n",
       "      <td>[0.00891072283204708]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>[750334090.39427]</td>\n",
       "      <td>[0.005115384574312154]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>[750334090.3902986]</td>\n",
       "      <td>[0.0013426933600677315]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>[750334090.3902549]</td>\n",
       "      <td>[0.0009229789835443203]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>[750334090.3890128]</td>\n",
       "      <td>[-0.000255437035785927]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>[750334090.3885463]</td>\n",
       "      <td>[-0.0007562598269834908]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>[750334090.3851793]</td>\n",
       "      <td>[-0.004045852627845958]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>[750334090.3846396]</td>\n",
       "      <td>[-0.004380868077460631]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>[750334090.3840429]</td>\n",
       "      <td>[-0.005848155112266024]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>[750334090.3829384]</td>\n",
       "      <td>[-0.006449127048801295]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>[750334090.3825855]</td>\n",
       "      <td>[-0.0065651970233324974]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>[286402019.54949576]</td>\n",
       "      <td>[7.241323410739353e-05]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>[286402019.5494516]</td>\n",
       "      <td>[0.00015823988546842527]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>[286402019.54893225]</td>\n",
       "      <td>[-0.0002894221696150834]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>[286402019.5488123]</td>\n",
       "      <td>[-0.0005265428779462344]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>[286402019.54864764]</td>\n",
       "      <td>[-0.0006534269613734378]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>30</td>\n",
       "      <td>[0.0682087714789644]</td>\n",
       "      <td>[0.06635641825856375]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>31</td>\n",
       "      <td>[0.019997778081068]</td>\n",
       "      <td>[0.01864309497641907]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>32</td>\n",
       "      <td>[-0.010991071363855298]</td>\n",
       "      <td>[-0.010906716625103216]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>[-1260668417.7827325]</td>\n",
       "      <td>[0.0016915847807195128]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>[-1260668417.7852023]</td>\n",
       "      <td>[-0.00045284589135202724]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>[-1310898664273.203]</td>\n",
       "      <td>[0.00826853723687232]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>[-1310898664273.2078]</td>\n",
       "      <td>[0.0033045967732110437]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>[-1310898664273.2146]</td>\n",
       "      <td>[-0.0028932043545263353]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>[-1310898664273.2188]</td>\n",
       "      <td>[-0.008679929655562635]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    columns                  coef_lr                 coef_ridge\n",
       "27       27     [3337645603.3220754]     [0.009137269443034168]\n",
       "28       28     [3337645603.3179655]    [0.0047498207110957535]\n",
       "29       29     [3337645603.2991734]    [-0.013887090154074966]\n",
       "16       16     [2858748467.1786547]    [0.0019793193878170426]\n",
       "25       25     [2611028940.2063465]   [-0.0007405804984723652]\n",
       "17       17      [1311678029.840907]   [-0.0019793193878170426]\n",
       "26       26     [1063958502.8733913]    [0.0007405804984690345]\n",
       "8         8      [750334090.4012854]     [0.012009117002549335]\n",
       "9         9      [750334090.3981762]      [0.00891072283204708]\n",
       "12       12        [750334090.39427]     [0.005115384574312154]\n",
       "13       13      [750334090.3902986]    [0.0013426933600677315]\n",
       "7         7      [750334090.3902549]    [0.0009229789835443203]\n",
       "11       11      [750334090.3890128]    [-0.000255437035785927]\n",
       "10       10      [750334090.3885463]   [-0.0007562598269834908]\n",
       "15       15      [750334090.3851793]    [-0.004045852627845958]\n",
       "14       14      [750334090.3846396]    [-0.004380868077460631]\n",
       "6         6      [750334090.3840429]    [-0.005848155112266024]\n",
       "5         5      [750334090.3829384]    [-0.006449127048801295]\n",
       "4         4      [750334090.3825855]   [-0.0065651970233324974]\n",
       "20       20     [286402019.54949576]    [7.241323410739353e-05]\n",
       "23       23      [286402019.5494516]   [0.00015823988546842527]\n",
       "19       19     [286402019.54893225]   [-0.0002894221696150834]\n",
       "21       21      [286402019.5488123]   [-0.0005265428779462344]\n",
       "22       22     [286402019.54864764]   [-0.0006534269613734378]\n",
       "30       30     [0.0682087714789644]      [0.06635641825856375]\n",
       "31       31      [0.019997778081068]      [0.01864309497641907]\n",
       "32       32  [-0.010991071363855298]    [-0.010906716625103216]\n",
       "24       24    [-1260668417.7827325]    [0.0016915847807195128]\n",
       "18       18    [-1260668417.7852023]  [-0.00045284589135202724]\n",
       "3         3     [-1310898664273.203]      [0.00826853723687232]\n",
       "2         2    [-1310898664273.2078]    [0.0033045967732110437]\n",
       "1         1    [-1310898664273.2146]   [-0.0028932043545263353]\n",
       "0         0    [-1310898664273.2188]    [-0.008679929655562635]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_mean = np.mean(ridge.cv_values_, axis = 0)\n",
    "plt.plot(np.log10(alphas), mse_mean.reshape(len(alphas),1)) \n",
    "\n",
    "#这是为了标出最佳参数的位置，不是必须\n",
    "#plt.plot(np.log10(ridge.alpha_)*np.ones(3), [0.28, 0.29, 0.30])\n",
    "\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()\n",
    "\n",
    "print ('best alpha is:', ridge.alpha_)\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(range(xTrain.shape[1])), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.4.2 观察残差的分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAekAAAFsCAYAAADos0H8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAHCBJREFUeJzt3X+4lWWd7/H3V9hCSaIgKEIGlpbgD7CtwimNIn80qDjXNGnHH3hEbbTmsjo1ZU7jzrGZHD39cHSa8fRDTUvUmUZPXp30kAzpKR22kWlokMoJIkRMEcwU+J4/1rNpA3vD2nuvvfcN+/26rnWt9TzrXs/zvdeC/dn389z7WZGZSJKk8uzW3wVIkqSOGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGkNeBHxeERM7+86+lNE/GlE/Doi1kXElD7c77qIOLCT586NiAcatJ9nIuK9jdiW1JcMae3SOvrhvPUP/8yclJnzd7Cd8RGRETG4l0rtb9cAH8nMYZn5062frPq+vgrVFRHxxYgY1NOdVvt7qqfbkXZVhrRUgALC/03A4ztoc0RmDgPeBZwOnNfrVUkDnCGtAa/9aDsijo6IhRGxNiJWRcQXq2YLqvsXqtHktIjYLSL+OiKWRcSzEXFzRAxvt91zqufWRMRnt9pPS0TcGRG3RMRa4Nxq3z+OiBciYmVEXBcRu7fbXkbExRGxJCJeioi/jYg3V69ZGxG3t2+/VR87rDUihkTEOmAQ8LOI+NWO3q/MXAo8CExut/3hEfH1qu4VEXFl20g7It4SEf8RES9GxHMRMXerPr2lejwyIu6u+vIw8OZ27bY5khER8yPi/OrxmyPih9V7/VxE3BoRe3XyXnT2GUvFMaSlLX0F+Epm7kktJG6v1h9X3e9VHaL9MXBudXs3cCAwDLgOICImAv8EnAmMAYYDY7fa1yzgTmAv4FZgI/AxYB9gGjADuHir15wEvB2YCvwVcEO1jzcChwIf7KRfHdaamX+oRsdQGym/ueOX/1FEvA04FljabvVNwAbgLcAU4ATg/Oq5vwXuBfYGxgH/2MmmrwdeofZ+nUfXRuoB/D2wP3AItfejpZO2nX3GUnEMaQ0E/16NTl+IiBeohWdnXgPeEhH7ZOa6zPzJdtqeCXwxM5/KzHXApcAZ1Wjv/cD/yswHMvNV4G+ArS+U/+PM/PfM3JSZv8/M1sz8SWZuyMxngH+hdmi5vasyc21mPg48Btxb7f9F4PvUArKrtdbrkYhYDywG5lO9jxGxL/A+4KOZuT4znwW+BJxRve41aofT98/MVzJzm8lg1aj7z4C/qbbxGLXgr0tmLs3M+6pfOlYDX2Tb965NVz5jqV8Z0hoITsvMvdpubDs6bW8OcDDwRET8Z0ScvJ22+wPL2i0vAwYD+1bP/brticx8GViz1et/3X4hIg6OiO9FxG+rQ+B/R21U3d6qdo9/38HyMDq2vVrrdWS1/dOBY4A9qvVvApqAle1+EfoXYHT1/F9RG+k+HLWZ9B2NkEdV9bR/T5Z10K5DETE6Im6rDrWvBW5h2/euTVc+Y6lfGdJSO5m5JDM/SC1grgLujIg92HYUDPAbagHV5gBqh3xXASupHdoFICJeB4zcendbLX8VeAI4qDoU+xlq4dYI26u1bllzO/BjakcHoBasfwD2affL0J6ZOal6zW8z84LM3B/4EPBPbeeh21ld1fPGrWpss766f327dfu1e/z31N7Pw6v37iw6ee+28xlLxTGkpXYi4qyIGJWZm4AXqtUbqYXIJmrnc9t8B/hYREyIiGHURr5zM3MDtXPNp0TEf6kmc32OHQfuG4C1wLrqvO9FDevY9mvtji8AF0bEfpm5kto55/8REXtWk9TeHBHvAoiIP4+Itl9YfkctTDe231hmbgT+DWiJiNdX5/Rnt3t+NbACOCsiBlWj8fbnz98ArKM2sW8s8MnOCt/OZywVx5CWtnQS8Hg14/krwBnVedSXgc8DD1aHdKcC3wC+RW3m99PUJj39JUB1zvgvgduojapfAp6lNuLszCeA/1q1/Z/A3O207apOa+2OzPw58B/8MQzPAXYHfkEtiO+kNgEM4Cjgoeo9vRu4JDOf7mCzH6F2OP23wI3AN7d6/oJqf2uAScD/bffc56gdjn8RuIda4Hemw894+z2W+kdkdnQUT1IjVaPXF6gdyu4ooCRpG46kpV4SEadUh273oHZFr58Dz/RvVZJ2Joa01HtmUZuw9RvgIGqHVT10JaluHu6WJKlQjqQlSSpUn17Uf5999snx48f35S4lSSpKa2vrc5k5qp62fRrS48ePZ+HChX25S0mSihIRdV9Nz8PdkiQVypCWJKlQhrQkSYXq03PSkqSOvfbaayxfvpxXXvEKpbuKoUOHMm7cOJqamrq9DUNakgqwfPly3vCGNzB+/HgiGvXlZ+ovmcmaNWtYvnw5EyZM6PZ2PNwtSQV45ZVXGDlypAG9i4gIRo4c2eMjI4a0JBXCgN61NOLzNKQlSSqU56QlqUAtLX2/vUGDBnHYYYexYcMGJkyYwLe+9S322muvLu/r/PPP5+Mf/zgTJ07cYv2NN97IwoULue6667q8TYBhw4axbt26utpOnz6da665hubm5s3rFi5cyM0338y1117brf33B0fSkiQAXve617Fo0SIee+wxRowYwfXXX9+t7Xzta1/bJqBL0Nzc3OsBvXHjxoZuz5CWJG1j2rRprFixYvPy1VdfzVFHHcXhhx/O5ZdfDsD69euZOXMmRxxxBIceeihz584FaqPYtktAf/Ob3+Tggw/mXe96Fw8++ODm7Z177rnceeedm5eHDRsGwLp165gxYwZHHnkkhx12GHfdddc2ta1cuZLjjjuOyZMnc+ihh/KjH/2orj7Nnz+fk08+GYCWlhbOO+88pk+fzoEHHrhFeN9yyy0cffTRTJ48mQ996EObg/eiiy6iubmZSZMmbX4PoHbJ6yuuuIJ3vvOd3HHHHXXVUi8Pd0uStrBx40bmzZvHnDlzALj33ntZsmQJDz/8MJnJqaeeyoIFC1i9ejX7778/99xzDwAvvvjiFttZuXIll19+Oa2trQwfPpx3v/vdTJkyZbv7Hjp0KN/97nfZc889ee6555g6dSqnnnrqFpOwvv3tb3PiiSdy2WWXsXHjRl5++eVu9fOJJ57g/vvv56WXXuKtb30rF110EUuXLmXu3Lk8+OCDNDU1cfHFF3Prrbdyzjnn8PnPf54RI0awceNGZsyYwaOPPsrhhx++ue4HHnigW3VsjyEtSQLg97//PZMnT+aZZ57h7W9/O8cffzxQC+l77713c8CuW7eOJUuWcOyxx/KJT3yCT33qU5x88skce+yxW2zvoYceYvr06YwaVfvCp9NPP51f/vKX260hM/nMZz7DggUL2G233VixYgWrVq1iv/3229zmqKOO4rzzzuO1117jtNNOY/Lkyd3q78yZMxkyZAhDhgxh9OjRrFq1innz5tHa2spRRx21+T0ZPXo0ALfffjs33HADGzZsYOXKlfziF7/YHNKnn356t2rYEQ93S5KAP56TXrZsGa+++urmc9KZyaWXXsqiRYtYtGgRS5cuZc6cORx88MG0trZy2GGHcemll3LFFVdss83O/gxp8ODBbNq0afP2X331VQBuvfVWVq9eTWtrK4sWLWLffffd5m+NjzvuOBYsWMDYsWM5++yzufnmm7vV3yFDhmx+PGjQIDZs2EBmMnv27M19ffLJJ2lpaeHpp5/mmmuuYd68eTz66KPMnDlzi7r22GOPbtWwI46kpV1AV2YCN3rWsHY9w4cP59prr2XWrFlcdNFFnHjiiXz2s5/lzDPPZNiwYaxYsYKmpiY2bNjAiBEjOOussxg2bBg33njjFts55phjuOSSS1izZg177rknd9xxB0cccQRQO4/b2trKBz7wAe666y5ee+01oHbIfPTo0TQ1NXH//fezbNm23+q4bNkyxo4dywUXXMD69et55JFHOOeccxrS9xkzZjBr1iw+9rGPMXr0aJ5//nleeukl1q5dyx577MHw4cNZtWoV3//+95k+fXpD9rk9hrQkFai/f5maMmUKRxxxBLfddhtnn302ixcvZtq0aUBtktctt9zC0qVL+eQnP8luu+1GU1MTX/3qV7fYxpgxY2hpaWHatGmMGTOGI488cvMkrAsuuIBZs2Zx9NFHM2PGjM0j0TPPPJNTTjmF5uZmJk+ezNve9rZtaps/fz5XX301TU1NDBs2rNOR9MyZMzdfN3vatGl8+MMf3mG/J06cyJVXXskJJ5zApk2baGpq4vrrr2fq1KlMmTKFSZMmceCBB/KOd7yj/jezByIz+2RHAM3Nzdk2409S4ziS3vktXryYQw45pL/LUIN19LlGRGtmNnfyki14TlqSpEIZ0pIkFcqQlqRC9OXpR/W+RnyehrQkFWDo0KGsWbPGoN5FtH2f9NChQ3u0HWd3S1IBxo0bx/Lly1m9enV/l6IGGTp0KOPGjevRNgxpSSpAU1MTEyZM6O8yVBgPd0uSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKVXdIR8SgiPhpRHyvWp4QEQ9FxJKImBsRu/demZIkDTxdGUlfAixut3wV8KXMPAj4HTCnkYVJkjTQ1RXSETEOmAl8rVoO4D3AnVWTm4DTeqNASZIGqnpH0l8G/grYVC2PBF7IzA3V8nJgbINrkyRpQBu8owYRcTLwbGa2RsT0ttUdNM1OXn8hcCHAAQcc0M0yJfW1lpbGtpPUdfWMpN8BnBoRzwC3UTvM/WVgr4hoC/lxwG86enFm3pCZzZnZPGrUqAaULEnSwLDDkM7MSzNzXGaOB84AfpiZZwL3A++vms0G7uq1KiVJGoB68nfSnwI+HhFLqZ2j/npjSpIkSVDHOen2MnM+ML96/BRwdONLkiRJ4BXHJEkqliEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUqMH9XYCkvtXS0t8VSKqXI2lJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpELtMKQjYmhEPBwRP4uIxyPic9X6CRHxUEQsiYi5EbF775crSdLAUc9I+g/AezLzCGAycFJETAWuAr6UmQcBvwPm9F6ZkiQNPDsM6axZVy02VbcE3gPcWa2/CTitVyqUJGmAGlxPo4gYBLQCbwGuB34FvJCZG6omy4Gxnbz2QuBCgAMOOKCn9UraSbW09E5baVdW18SxzNyYmZOBccDRwCEdNevktTdkZnNmNo8aNar7lUqSNMB0aXZ3Zr4AzAemAntFRNtIfBzwm8aWJknSwFbP7O5REbFX9fh1wHuBxcD9wPurZrOBu3qrSEmSBqJ6zkmPAW6qzkvvBtyemd+LiF8At0XElcBPga/3Yp2SJA04OwzpzHwUmNLB+qeonZ+WJEm9oK7Z3ZLUGWdiS73Hy4JKklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEG93cBkjrX0tLfFUjqT46kJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBVqhyEdEW+MiPsjYnFEPB4Rl1TrR0TEfRGxpLrfu/fLlSRp4KhnJL0B+O+ZeQgwFfhwREwEPg3My8yDgHnVsiRJapAdhnRmrszMR6rHLwGLgbHALOCmqtlNwGm9VaQkSQNRl85JR8R4YArwELBvZq6EWpADozt5zYURsTAiFq5evbpn1UqSNIDUHdIRMQz4V+Cjmbm23tdl5g2Z2ZyZzaNGjepOjZIkDUh1hXRENFEL6Fsz89+q1asiYkz1/Bjg2d4pUZKkgame2d0BfB1YnJlfbPfU3cDs6vFs4K7GlydJ0sA1uI427wDOBn4eEYuqdZ8BvgDcHhFzgP8H/HnvlChJ0sC0w5DOzAeA6OTpGY0tR5IktfGKY5IkFaqew92S1KdaWhrbTtpZOZKWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIK5exuDVi9MYPYWcmSGsmRtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChnd0v9wNndkurhSFqSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhfILNiTt8ur9QhO/+ESlcSQtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQu0wpCPiGxHxbEQ81m7diIi4LyKWVPd7926ZkiQNPPWMpG8ETtpq3aeBeZl5EDCvWpYkSQ20w5DOzAXA81utngXcVD2+CTitwXVJkjTgDe7m6/bNzJUAmbkyIkZ31jAiLgQuBDjggAO6uTup/7S09HcF6oyfjXZ1vT5xLDNvyMzmzGweNWpUb+9OkqRdRndDelVEjAGo7p9tXEmSJAm6H9J3A7Orx7OBuxpTjiRJalPPn2B9B/gx8NaIWB4Rc4AvAMdHxBLg+GpZkiQ10A4njmXmBzt5akaDa5EkSe14xTFJkgrV3T/BkhqiK39CU29b/yxH0q7CkbQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoQ1qSpEIZ0pIkFcqQliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKhDGlJkgplSEuSVChDWpKkQhnSkiQVypCWJKlQhrQkSYUa3N8FSNLOqKWlse2kjjiSliSpUIa0JEmFMqQlSSqUIS1JUqEMaUmSCmVIS5JUKENakqRCGdKSJBXKkJYkqVCGtCRJhTKkJUkqlCEtSVKh/IKNgjT6Qvz9eWF/v1RAknrOkbQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklQoZ3f3sl1thvWu1h+pvYH6b6zefg/U96c/OZKWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKtVPP7u7P2csDdZbjQO231F3+nNq+/uzLzvA+OpKWJKlQhrQkSYUypCVJKlSPQjoiToqIJyNiaUR8ulFFSZKkHoR0RAwCrgfeB0wEPhgRExtVmCRJA11PRtJHA0sz86nMfBW4DZjVmLIkSVJkZvdeGPF+4KTMPL9aPhs4JjM/slW7C4ELq8W3Ak92v9yi7QM8199F9JGB0lf7uesZKH21n2V7U2aOqqdhT/5OOjpYt03iZ+YNwA092M9OISIWZmZzf9fRFwZKX+3nrmeg9NV+7jp6crh7OfDGdsvjgN/0rBxJktSmJyH9n8BBETEhInYHzgDubkxZkiSp24e7M3NDRHwE+AEwCPhGZj7esMp2Prv8If12Bkpf7eeuZ6D01X7uIro9cUySJPUurzgmSVKhDGlJkgplSHdBRIyIiPsiYkl1v3cn7WZXbZZExOx26/93RPwsIh6PiH+urtpWpJ70NSJeHxH3RMQTVV+/0LfV168Bn+nnI+LXEbGu76qu344u3RsRQyJibvX8QxExvt1zl1brn4yIE/uy7q7qbj8jYmRE3B8R6yLiur6uu6t60M/jI6I1In5e3b+nr2vvqh709eiIWFTdfhYRf9rXtTdUZnqr8wb8A/Dp6vGngas6aDMCeKq637t6vHf13J7VfQD/CpzR333qjb4CrwfeXbXZHfgR8L7+7lMvfaZTgTHAuv7uSwd1DwJ+BRxYfQ4/AyZu1eZi4J+rx2cAc6vHE6v2Q4AJ1XYG9XefeqGfewDvBP4CuK6/+9KL/ZwC7F89PhRY0d/96cW+vh4YXD0eAzzbtrwz3hxJd80s4Kbq8U3AaR20ORG4LzOfz8zfAfcBJwFk5tqqzWBq//BKnrXX7b5m5suZeT9A1i4Z+wi1v6MvUU8/059k5so+qbTr6rl0b/v+3wnMiIio1t+WmX/IzKeBpdX2StTtfmbm+sx8AHil78rttp7086eZ2XYdi8eBoRExpE+q7p6e9PXlzNxQrR9K2T9nd8iQ7pp9234gV/ejO2gzFvh1u+Xl1ToAIuIH1H6ze4naP6xS9bivABGxF3AKMK+X6uyphvSzUPXUvblN9YPtRWBkna8tRU/6uTNpVD//DPhpZv6hl+pshB71NSKOiYjHgZ8Df9EutHc6Pbks6C4pIv4PsF8HT11W7yY6WLf5N7nMPDEihgK3Au+hNirrF73d14gYDHwHuDYzn+p6hY3R2/0sWD11d9ZmZ+pzT/q5M+lxPyNiEnAVcEID6+oNPeprZj4ETIqIQ4CbIuL7mbkzHC3ZhiG9lcx8b2fPRcSqiBiTmSsjou1cx9aWA9PbLY8D5m+1j1ci4m5qh2v6LaT7oK83AEsy88sNKLfb+uIzLVQ9l+5ta7O8+qVqOPB8na8tRU/6uTPpUT8jYhzwXeCczPxV75fbIw35TDNzcUSsp3YefmHvldt7PNzdNXcDbTN7ZwN3ddDmB8AJEbF3NVP4BOAHETGsCoG2EeafAE/0Qc3d1e2+AkTEldT+03y0D2rtiR71s3D1XLq3ff/fD/wwazNu7gbOqGbQTgAOAh7uo7q7qif93Jl0u5/Vaad7gEsz88E+q7j7etLXCdXPWCLiTdS+ffGZvim7F/T3zLWd6UbtfMc8YEl1P6Ja3wx8rV2786hNtFkK/Ldq3b7U/uE9Sm3ixj9S8IzDHvZ1HLXDTouBRdXt/P7uU6P7Wa3/B2q/0W+q7lv6u09b9e9PgF9Smyl7WbXuCuDU6vFQ4I6qXw8DB7Z77WXV656k0Nn5DernM9RGYOuqz3BiX9ff2/0E/hpY3+7/4yJgdH/3p5f6enb1M3YRtUmrp/V3X3py87KgkiQVysPdkiQVypCWJKlQhrQkSYUypCVJKpQhLUlSoQxpSZIKZUhLklSo/w8v/xGZw84OvwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(yTest - y_test_pred_ridge,bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.4.3 观察预测值与真值的散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(yTest, y_test_pred_ridge)\n",
    "plt.plot([-0.5, 0.5], [-0.5, 0.5], '--k')   #数据已经归一，0.5倍标准差即可\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.5 L1正则 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jack/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/coordinate_descent.py:1094: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    }
   ],
   "source": [
    "#### Lasso／L1正则\n",
    "# class sklearn.linear_model.LassoCV(eps=0.001, n_alphas=100, alphas=None, fit_intercept=True, \n",
    "#                                    normalize=False, precompute=’auto’, max_iter=1000, \n",
    "#                                    tol=0.0001, copy_X=True, cv=None, verbose=False, n_jobs=1,\n",
    "#                                    positive=False, random_state=None, selection=’cyclic’)\n",
    "from sklearn.linear_model import LassoCV\n",
    "#设置超参数搜索范围\n",
    "#alphas = [ 0.01*index,0.1*index,index,2*index,3*index, 5*index,7*index,10*index,100*index]\n",
    "\n",
    "#生成一个LassoCV实例\n",
    "lasso = LassoCV()  \n",
    "\n",
    "#训练（内含CV）\n",
    "lasso.fit(xTrain,yTrain)  \n",
    "\n",
    "#测试\n",
    "y_test_pred_lasso = lasso.predict(xTest) \n",
    "y_train_pred_lasso = lasso.predict(xTrain)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LassoCV on test is 0.6667223784616603\n",
      "The r2 score of LassoCV on train is 0.8489857354749899\n"
     ]
    }
   ],
   "source": [
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of LassoCV on test is', r2_score(yTest, y_test_pred_lasso))\n",
    "print('The r2 score of LassoCV on train is', r2_score(yTrain, y_train_pred_lasso))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 8.077049388994609e-06\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>coef_lasso</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>[3337645603.3220754]</td>\n",
       "      <td>[0.009137269443034168]</td>\n",
       "      <td>4.294216e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>[3337645603.3179655]</td>\n",
       "      <td>[0.0047498207110957535]</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>[3337645603.2991734]</td>\n",
       "      <td>[-0.013887090154074966]</td>\n",
       "      <td>-1.894612e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>[2858748467.1786547]</td>\n",
       "      <td>[0.0019793193878170426]</td>\n",
       "      <td>5.092304e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>[2611028940.2063465]</td>\n",
       "      <td>[-0.0007405804984723652]</td>\n",
       "      <td>-1.535650e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>[1311678029.840907]</td>\n",
       "      <td>[-0.0019793193878170426]</td>\n",
       "      <td>-2.519319e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>[1063958502.8733913]</td>\n",
       "      <td>[0.0007405804984690345]</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>[750334090.4012854]</td>\n",
       "      <td>[0.012009117002549335]</td>\n",
       "      <td>1.189080e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>[750334090.3981762]</td>\n",
       "      <td>[0.00891072283204708]</td>\n",
       "      <td>8.771227e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>[750334090.39427]</td>\n",
       "      <td>[0.005115384574312154]</td>\n",
       "      <td>5.687086e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>[750334090.3902986]</td>\n",
       "      <td>[0.0013426933600677315]</td>\n",
       "      <td>2.350974e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>[750334090.3902549]</td>\n",
       "      <td>[0.0009229789835443203]</td>\n",
       "      <td>7.327850e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>[750334090.3890128]</td>\n",
       "      <td>[-0.000255437035785927]</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>[750334090.3885463]</td>\n",
       "      <td>[-0.0007562598269834908]</td>\n",
       "      <td>-4.515336e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>[750334090.3851793]</td>\n",
       "      <td>[-0.004045852627845958]</td>\n",
       "      <td>-3.042707e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>[750334090.3846396]</td>\n",
       "      <td>[-0.004380868077460631]</td>\n",
       "      <td>-3.214435e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>[750334090.3840429]</td>\n",
       "      <td>[-0.005848155112266024]</td>\n",
       "      <td>-5.389347e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[750334090.3829384]</td>\n",
       "      <td>[-0.006449127048801295]</td>\n",
       "      <td>-5.811958e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[750334090.3825855]</td>\n",
       "      <td>[-0.0065651970233324974]</td>\n",
       "      <td>-6.125866e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>[286402019.54949576]</td>\n",
       "      <td>[7.241323410739353e-05]</td>\n",
       "      <td>3.604680e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>[286402019.5494516]</td>\n",
       "      <td>[0.00015823988546842527]</td>\n",
       "      <td>4.374527e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>[286402019.54893225]</td>\n",
       "      <td>[-0.0002894221696150834]</td>\n",
       "      <td>-0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>[286402019.5488123]</td>\n",
       "      <td>[-0.0005265428779462344]</td>\n",
       "      <td>-1.085864e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>[286402019.54864764]</td>\n",
       "      <td>[-0.0006534269613734378]</td>\n",
       "      <td>-3.294687e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>[0.0682087714789644]</td>\n",
       "      <td>[0.06635641825856375]</td>\n",
       "      <td>5.935537e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>[0.019997778081068]</td>\n",
       "      <td>[0.01864309497641907]</td>\n",
       "      <td>9.881785e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>[-0.010991071363855298]</td>\n",
       "      <td>[-0.010906716625103216]</td>\n",
       "      <td>-1.389124e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>[-1260668417.7827325]</td>\n",
       "      <td>[0.0016915847807195128]</td>\n",
       "      <td>4.592200e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>[-1260668417.7852023]</td>\n",
       "      <td>[-0.00045284589135202724]</td>\n",
       "      <td>-1.488720e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[-1310898664273.203]</td>\n",
       "      <td>[0.00826853723687232]</td>\n",
       "      <td>4.440142e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[-1310898664273.2078]</td>\n",
       "      <td>[0.0033045967732110437]</td>\n",
       "      <td>1.420812e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[-1310898664273.2146]</td>\n",
       "      <td>[-0.0028932043545263353]</td>\n",
       "      <td>-5.551818e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[-1310898664273.2188]</td>\n",
       "      <td>[-0.008679929655562635]</td>\n",
       "      <td>-1.238724e-02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    coef_lr                 coef_ridge    coef_lasso\n",
       "27     [3337645603.3220754]     [0.009137269443034168]  4.294216e-03\n",
       "28     [3337645603.3179655]    [0.0047498207110957535]  0.000000e+00\n",
       "29     [3337645603.2991734]    [-0.013887090154074966] -1.894612e-02\n",
       "16     [2858748467.1786547]    [0.0019793193878170426]  5.092304e-03\n",
       "25     [2611028940.2063465]   [-0.0007405804984723652] -1.535650e-06\n",
       "17      [1311678029.840907]   [-0.0019793193878170426] -2.519319e-17\n",
       "26     [1063958502.8733913]    [0.0007405804984690345]  0.000000e+00\n",
       "8       [750334090.4012854]     [0.012009117002549335]  1.189080e-02\n",
       "9       [750334090.3981762]      [0.00891072283204708]  8.771227e-03\n",
       "12        [750334090.39427]     [0.005115384574312154]  5.687086e-03\n",
       "13      [750334090.3902986]    [0.0013426933600677315]  2.350974e-03\n",
       "7       [750334090.3902549]    [0.0009229789835443203]  7.327850e-04\n",
       "11      [750334090.3890128]    [-0.000255437035785927]  0.000000e+00\n",
       "10      [750334090.3885463]   [-0.0007562598269834908] -4.515336e-04\n",
       "15      [750334090.3851793]    [-0.004045852627845958] -3.042707e-03\n",
       "14      [750334090.3846396]    [-0.004380868077460631] -3.214435e-03\n",
       "6       [750334090.3840429]    [-0.005848155112266024] -5.389347e-03\n",
       "5       [750334090.3829384]    [-0.006449127048801295] -5.811958e-03\n",
       "4       [750334090.3825855]   [-0.0065651970233324974] -6.125866e-03\n",
       "20     [286402019.54949576]    [7.241323410739353e-05]  3.604680e-04\n",
       "23      [286402019.5494516]   [0.00015823988546842527]  4.374527e-04\n",
       "19     [286402019.54893225]   [-0.0002894221696150834] -0.000000e+00\n",
       "21      [286402019.5488123]   [-0.0005265428779462344] -1.085864e-04\n",
       "22     [286402019.54864764]   [-0.0006534269613734378] -3.294687e-04\n",
       "30     [0.0682087714789644]      [0.06635641825856375]  5.935537e-02\n",
       "31      [0.019997778081068]      [0.01864309497641907]  9.881785e-03\n",
       "32  [-0.010991071363855298]    [-0.010906716625103216] -1.389124e-02\n",
       "24    [-1260668417.7827325]    [0.0016915847807195128]  4.592200e-04\n",
       "18    [-1260668417.7852023]  [-0.00045284589135202724] -1.488720e-03\n",
       "3      [-1310898664273.203]      [0.00826853723687232]  4.440142e-03\n",
       "2     [-1310898664273.2078]    [0.0033045967732110437]  1.420812e-04\n",
       "1     [-1310898664273.2146]   [-0.0028932043545263353] -5.551818e-03\n",
       "0     [-1310898664273.2188]    [-0.008679929655562635] -1.238724e-02"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T)), \"coef_lasso\":list((lasso.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'], ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ll =y_test_pred_lasso.reshape(-1,1)\n",
    "\n",
    "\n",
    "#结果和LR模型相比，得分很接近#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(yTest - ll,bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(yTest, ll)\n",
    "plt.plot([-0.5, 0.5], [-0.5, 0.5], '--k')   #数据已经归一，0.5倍标准差即可\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
